Answer:
[tex]Ka=4.71x10^{-4}[/tex]
Explanation:
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In this case, according to the Henderson-Hasselbach equation, it is possible to write:
[tex]pH=pKa+log(\frac{[A^-]}{[HA]} )[/tex]
Next, since we are given the pH and the [A–]/[HA] ratio, we can solve for the pKa as shown below:
[tex]pKa=pH-log(\frac{[A^-]}{[HA]} )[/tex]
Now, we plug in the values to obtain:
[tex]pKa=3.92-log(0.41 )\\\\pKa=3.33[/tex]
Next, Ka is:
[tex]Ka=10^{-pKa}=10^{-3.33}\\\\Ka=4.71x10^{-4}[/tex]
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